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20861667456 = 273759131543
BaseRepresentation
bin10011011011011100…
…111100100010000000
31222211212220111210020
4103123130330202000
5320211041324311
613330025533440
71335654150630
oct233334744200
958755814706
1020861667456
11893595a593
124062644280
131c7606c736
14101c9046c0
15821724c06
hex4db73c880

20861667456 has 128 divisors (see below), whose sum is σ = 64403942400. Its totient is φ = 5859406848.

The previous prime is 20861667401. The next prime is 20861667461. The reversal of 20861667456 is 65476616802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20861667399 and 20861667408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92821 + ... + 224363.

It is an arithmetic number, because the mean of its divisors is an integer number (503155800).

Almost surely, 220861667456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20861667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32201971200).

20861667456 is an abundant number, since it is smaller than the sum of its proper divisors (43542274944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20861667456 is a wasteful number, since it uses less digits than its factorization.

20861667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131626 (or 131614 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 20861667456 in words is "twenty billion, eight hundred sixty-one million, six hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 336 354 384 413 448 472 672 708 826 896 944 1239 1344 1416 1652 1888 2478 2688 2832 3304 3776 4956 5664 6608 7552 9912 11328 13216 19824 22656 26432 39648 52864 79296 131543 158592 263086 394629 526172 789258 920801 1052344 1578516 1841602 2104688 2762403 3157032 3683204 4209376 5524806 6314064 7366408 7761037 8418752 11049612 12628128 14732816 15522074 16837504 22099224 23283111 25256256 29465632 31044148 44198448 46566222 50512512 54327259 58931264 62088296 88396896 93132444 108654518 117862528 124176592 162981777 176793792 186264888 217309036 248353184 325963554 353587584 372529776 434618072 496706368 651927108 745059552 869236144 993412736 1303854216 1490119104 1738472288 2607708432 2980238208 3476944576 5215416864 6953889152 10430833728 20861667456